High energy solutions for p-Kirchhoff elliptic problems with Hardy-Littlewood-Sobolev nonlinearity

2023/06/18 by Divya Goel, Goel, Divya, Sushmita Rawat +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2306.10618

openalex publication_date 2023/06/18 · openalex created_date 2023/06/22 · openalex updated_date 2026/07/28

Abstract

This article deals with the study of the following Kirchhoff-Choquard problem: M( ∫_ℝ^N|∇ u|^p) (-Δ_p) u + V(x)|u|^p-2u = ( ∫_ℝ^N(F(u)(y))/(|x-y|^μ) dy ) f(u), in ℝ^N, u · gt; 0, in ℝ^N, where M models Kirchhoff-type nonlinear term of the form M(t) = a + bt^θ-1, where a, b > 0 are given constants; 1

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